convex spaces
Hyperinvariant subspaces for some operators on locally convex spaces
... 2. Main results. We consider some instances of the existence of a hyperinvariant subspace for some operators on locally convex spaces. We start with the following result obtained by Ma in [9] as a ...
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Efficiency and Choquet boundaries in separated locally convex spaces
... locally convex spaces, which cannot be obtained as a consequence of the axiomatic potential theory and, following the above results, offers new pertinent prop- erties for the efficient point sets and ...
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Remarks on Weakly KKM Maps in Abstract Convex Spaces
... abstract convex space satisfying the KKM ...KKM spaces related to weakly KKM maps and indicate some applications of ...G-convex spaces and φ A -spaces X, D; {φ A } A∈D ...
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On almost coincidence points in generalized convex spaces
... We prove an almost coincidence point theorem in generalized convex spaces. As an ap- plication, we derive a result on the existence of a maximal element and an almost coin- cidence point theorem in ...
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Coincidence theorems and minimax inequalities in abstract convex spaces
... on convex subsets of topological vector ...to convex spaces by Lassonde [4], to C-spaces (or H-spaces) by Horvath [5-8] and to ...
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Asymmetric locally convex spaces
... The aim of the present paper is to introduce the asymmetric locally convex spaces and to prove some basic properties. Among these I do mention the analogs of the Eidelheit- Tuckey separation theorems, of ...
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A Note on Implicit Functions in Locally Convex Spaces
... Implicit function theorems are an important tool in nonlinear analysis. They have significant applications in the theory of nonlinear integral equations. One of the most important results is the classic ...
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On the semi inner product in locally convex spaces
... [9,11 ] and it plays an important role in the theory of accretive operators and dissipative operators, differential equations, linear and nonlinear semigroups in Banach spaces and Banach[r] ...
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Torricellian points in normed linear spaces
... case of normed linear spaces. The set of Torricellian points can be utilised to characterise strictly convex spaces and inner product spaces. In Martini et al. [], a generalisation in ...
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Convex Space Building Discretization for Ray Tracing
... The software was tested as follows: A building was gener- ated comprising of a total of 230 boxes, with 4 floors including the roof space, 3 stories, with internal walls, external walls, doors, windows and 6 or 7 rooms ...
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Vol 9, No 10 (2018)
... metric spaces satisfying different contraction condition may be extended to the abstract spaces like Hilbert, Banach and Locally convex spaces with some ...
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On Vector Sequence Spaces and Representation of Compact Operators on BK Spaces
... (BK) spaces. Further the study looks at the vector sequence spaces associated with these ...the spaces of compact linear maps from locally convex spaces into BK spaces in terms ...
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Generalized contraction principle
... Fixed point theorems are proved for contraction maps on M-convex spaces... Fixed Point Theorems, Contraion principle, M-convex spaces..[r] ...
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New versions of the Fan-Browder fixed point theorem and existence of economic equilibria
... MC spaces and many other spaces with certain abstract con- vexities are unified to generalized convex spaces (simply, G-convex spaces) by the present author since ...
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PROBABILISTIC $\varphi$-CONTRACTION IN $b$-MENGER SPACES WITH FULLY CONVEX STRUCTURE
... in convex spaces the cases where the involved function is not necessarily a self mapping of a closed subset, then the condition f (∂C ) ⊂ C plays a crucial role to guarantee the existence of fixed point for ...
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On boundedly convex functions on pseudo topological vector spaces
... boundedly convex function and of a Lipschitz-continuous function are extended to the case of functions on pseudo-topological vector ...Ψ-boundedly convex function is Ψ-differentiable and its derivative is ...
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Convergence theorems of a hybrid iteration method for fixed points of asymptotically nonexpansive mappings
... Iterative techniques for approximating fixed points of nonexpansive mappings and asymptot- ically nonexpansive mappings have been studied by various authors; see, e.g., [1-16]. In 2007, Wang [17] introduced an explicit ...
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On strong orthogonality and strictly convex normed linear spaces
... 12. Birkhoff, G: Orthogonality in linear metric spaces. Duke Math. J. 1, 169-172 (1935) 13. Klee, VL Jr.: Extremal structure of convex sets. I. Arch. Math. 8, 234-240 (1957) 14. Klee, VL Jr.: Extremal ...
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On Some Inequalities for Convex Functions with Applications in Normed Spaces
... Jensen’s inequality is pivotal in the Theory of Inequalities because it implies at once many other classical inequalities including the H¨ older, Minkowski, Beckenbach- Dresher and Young[r] ...
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Fast complete locally convex linear topological spaces
... Locally convex space, fast complete space, bornological space, barrelled space, Mackey space, Baire space.. 1980 MATHEMATICS SUBJECT CLASSIFICATION CODE.[r] ...
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